The Large $N_c$ limit of QCD on the lattice

Abstract

We review recent progress in the study of the large $N_c$ limit of gauge theories from lattice simulations. The focus is not only the planar limit but also the size of $\mathcal{O}(N_c^{-1})$ corrections for values of $N_c\gtrsim 3$. Some concrete examples of the topics we include are tests of large-$N_c$ factorization, the topological susceptibility, the glueball, meson and baryon spectra, the chiral dependence of masses and decay constants, and weak matrix elements related to the $\Delta I=1/2$ rule in kaon decays.

Comments: Contribution to the EPJA special issue "Lattice Field Theory during the COVID-19 pandemic". 19 pages, 17 figures, 1 table. Accepted in EPJA. Minor formatting issue fixed